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Finding the Fourth Proportional to 290,173.08, 400,451.34 and 161,111.55

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Solution

The fourth proportional to 290,173.08, 400,451.34 and 161,111.55 is: 222,340.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,173.08 : 400,451.34 = 161,111.55 : x
  2. Step 2: Convert to fraction form
    290,173.08/400,451.34 = 161,111.55/x
  3. Step 3: Cross multiply
    290,173.08x = 400,451.34 × 161,111.55
  4. Step 4: Simplify right side
    290,173.08x = 64,517,336,086.98
  5. Step 5: Solve for x
    x = 64,517,336,086.98/290,173.08
  6. Step 6: Final answer
    x = 222,340.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.